Math, asked by koushikkumar0822, 8 months ago

Orthocentre of the triangle formed by (-1,-3),(-1,4),(5,-3) is

Answers

Answered by amitnrw
7

Given : triangle formed by (-1,-3),(-1,4),(5,-3)  

To find : Orthocentre of the triangle

Solution:

A  (- 1 , - 3)

B (-1 , 4)

C ( 5 , - 3)

Orthocenter of triangle is the point where altitude meets

Slope of AB  = ( 4 -(-3))/(-1 - 1) = 7/0

Slope of CD =  0   CD ⊥ AB

CD

y - (-3) = 0(x - 5)

=> y = - 3

Slope of AC  = (-3 -(-3)/(5 -(-1)) = 0

Slope of BE    = 1/0       BE ⊥ AC

BE

y - 4 = (1/0)( x - (-1))

=> 0 = x + 1

=> x = - 1

x = - 1 , y = - 3

(-1 , -3) is the orthocenter of the triangle formed by (-1,-3),(-1,4),(5,-3)

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Answered by kajalagarwal10
2

Answer: the above answer had been mistaken near slope of AB please check it

Given : triangle formed by (-1,-3),(-1,4),(5,-3)  

To find : Orthocentre of the triangle

Solution:

A  (- 1 , - 3)

B (-1 , 4)

C ( 5 , - 3)

Orthocenter of triangle is the point where altitude meets

Slope of AB  = ( 4 -(-3))/(-1 + 1) = 7/0

Slope of CD =  0   CD ⊥ AB

CD

y - (-3) = 0(x - 5)

=> y = - 3

Slope of AC  = (-3 -(-3)/(5 -(-1)) = 0

Slope of BE    = 1/0       BE ⊥ AC

BE

y - 4 = (1/0)( x - (-1))

=> 0 = x + 1

=> x = - 1

x = - 1 , y = - 3

(-1 , -3) is the orthocenter of the triangle formed by (-1,-3),(-1,4),(5,-3)

Step-by-step explanation:

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